Answer: 
Step-by-step explanation:
Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.
Proportion of success : 
Sample size taken by customs official : n= 3
Let x be a binomial variable that represents the tablets in the bottle.
Using Binomial probability formula :-
The probability that the traveler will be arrested for illegal possession of narcotics =
![1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}](https://tex.z-dn.net/?f=1-%5E3C_0%28%5Cdfrac%7B2%7D%7B3%7D%29%5E0%281-%5Cdfrac%7B2%7D%7B3%7D%29%5E3%5C%5C%5C%5C%3D1-%281%29%281%29%28%5Cdfrac%7B1%7D%7B3%7D%29%5E3%5C%20%5B%5Cbecuase%20%5EnC_0%3D1%5D%5C%5C%5C%5C%3D1-%5Cdfrac%7B1%7D%7B27%7D%3D%5Cdfrac%7B26%7D%7B27%7D)
Hence, the probability that the traveler will be arrested for illegal possession of narcotics =
Answer:
14 is the answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520
use long division or synthetic division
I will use long
y-3 times y=y^3-3y
subtract that from y^2-y-11
we are left with
2y-11
multiply y-3 by 2 and get 2y-6
subtract that from 2y-11
get 5 as a remainder
answer is y+2+5/(y-3)
<h2>
The greatest possible value of the second root, β = 54 </h2>
Step-by-step explanation:
The given quadratic equation:
Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β = 
⇒ 36 + β = 
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β = 
⇒ 
⇒ 
............. (2)
From equations (1) and (2), we get
⇒ 
⇒ 
⇒ 
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54
